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A complete bounded minimal cylinder in R3

Francisco Martin, Santiago Morales

math.DGarXiv:math/0002147

Abstract

In 1996, Nadirashvili used Runge's theorem to produce a complete minimal disc inside a ball in R3. In this paper we generalize the techniques used by Nadirashvili to obtain new examples of complete minimal surfaces inside a ball in R3, with the conformal structure of an annulus.

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